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4104141055524 = 2232114003918209
BaseRepresentation
bin111011101110010001110…
…111101010011000100100
3112112100111122110110102200
4323232101313222120210
51014220240102234044
612421225534134500
7602341304242566
oct73562167523044
915470448413380
104104141055524
1113426136a4004
125634b0651430
1323a032516493
141028da351336
1571b58a2e369
hex3bb91dea624

4104141055524 has 18 divisors (see below), whose sum is σ = 10374356557110. Its totient is φ = 1368047018496.

The previous prime is 4104141055523. The next prime is 4104141055537. The reversal of 4104141055524 is 4255501414014.

4104141055524 is a `hidden beast` number, since 4 + 1 + 0 + 41 + 41 + 0 + 55 + 524 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4026122510400 + 78018545124 = 2006520^2 + 279318^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 114003918209 = 4104141055524 / (4 + 1 + 0 + 4 + 1 + 4 + 1 + 0 + 5 + 5 + 5 + 2 + 4).

It is not an unprimeable number, because it can be changed into a prime (4104141055523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57001959069 + ... + 57001959140.

Almost surely, 24104141055524 is an apocalyptic number.

It is an amenable number.

4104141055524 is an abundant number, since it is smaller than the sum of its proper divisors (6270215501586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4104141055524 is a wasteful number, since it uses less digits than its factorization.

4104141055524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114003918219 (or 114003918214 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 4104141055524 its reverse (4255501414014), we get a palindrome (8359642469538).

The spelling of 4104141055524 in words is "four trillion, one hundred four billion, one hundred forty-one million, fifty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 114003918209 228007836418 342011754627 456015672836 684023509254 1026035263881 1368047018508 2052070527762 4104141055524